Основний зміст сторінки статті

Yevhenii Krupa


At present, the development of software packages for calculating computational fluid dynamics problems has reached a high level of efficiency,
accuracy and flexibility, with their help it is possible to solve the most diverse and complex problems. All modern software packages for
computational fluid dynamics solve the problems of continuum mechanics using models based on the Navier-Stokes equations. These models are
based on three conservation equations: conservation of mass, conservation of momentum and conservation of energy. A numerical simulation of the
spatial flow of a high-head radial-axial hydraulic turbine Fr 310 was carried out for two variants of the flow path – with an runner with 15 blades
(modification 1) and with 17 blades (modification 2), using the OpenFOAM software package. The OpenFOAM software package is one of the most
used products designed to solve fluid dynamics problems and is distributed under a free GPL license (General Purpose License). The process of
solving the set hydrodynamic problems using the CFD (Computational fluid dynamics) software package includes the following stages: creating a
three-dimensional model of the object under consideration using a computer-aided design system; construction of a computational grid with the
required parameters; selection of a mathematical model that most accurately describes the working process in the flow parts of hydraulic machines;
selection of a suitable turbulence model; setting boundary conditions. A visualization of the results of a numerical study of two modifications of the
Fr 310-V-100 hydraulic turbine is presented. A method for calculating hydraulic losses in the flow path of a hydraulic turbine is presented. The
analysis of the results of numerical simulation was performed. This analysis showed that the modification of a hydraulic turbine with a runner with 15
blades is better in terms of efficiency than the modification with 17 blades. Comparison of the two modifications was carried out exceptionally by the
values of the hydraulic efficiency of the hydraulic turbine.

Блок інформації про статтю



Drankovskiy V. E., Rezvaya K. S., Krupa Е. S. Сalculating three dimensional fluid flow in the spiral casing of the reversible hydraulic machine in turbine mode. Bulletin of the National Technical University "KhPI". Series: Hydraulic machines and hydraulic units. Kharkiv, NTU "KhPI" Publ., 2016, no. 20 (1192), pp. 53–57.

Khare R., Prasad V., Kumar S. CFD approach for flow characteristics of hydraulic Francis turbine. International Journal of Engineering Science and Technology. 2010, vol. 2 (8), pp. 3824– 3831.

Brijkishore, Khare R., Prasad V. Performance Evaluation of Kaplan Turbine with Different Runner Solidity Using CFD. Advances in Intelligent Systems and Computing. Singapore, Springer Publ., 2020, pp. 757–767. doi: 10.1007/978-981-13-8196-6_67

Wahidullah H. S., Prasad V. Design and permance analysis of Francis turbine for hydro power station on Kunar river using CFD. International Journal of Advanced Research. 2017, No. 5 (5), pp. 1004–1012.

Pankaj G., Rajeshwer S. Numerical Study of Cavitation in Francis Turbine of a Small Hydro Power Plant. Journal of Applied Fluid Mechanics. 2016, no. 9 (1), pp. 357–365. doi: 10.18869/ acadpub.jafm.68.224.24080

Rezvaya K., Krupa E., Drankovskiy V., Potetenko O., Tynyanova I. The numerical research of the flow in the inlet of the high-head hydraulic turbine. Bulletin of NTU "KhPI". Series: New solutions in modern technologies. Kharkiv, NTU "KhPI" Publ., 2017, no. 7 (1229), pp. 97–102. doi:10.20998/2413-4295.2017.07.13

Dehkharqani A. S., Cervantes M. J., Aidanpää J. O. Numerical analysis of fluid-added parameters for the torsional vibration of a Kaplan turbine model runner. Advances in Mechanical Engineering. 2017, vol. 9, issue 10, pp. 1–10. doi: 10.1177/1687814017732893

Brekke H. Design, Performance and Maintenance of Francis Turbines. Global Journal of Researches in Engineering Mechanical and Mechanics Engineering. 2013, vol. 13 (5), pp. 28–40.

Rusanov A., Rusanov R., Lampart P., Designing and updating the flow part of axial and radial-axial turbines through mathematical modeling. Open Engineering. 2015, vol. 5, pp. 399–410.

OpenFOAM. The open source CFD toolbox. Available at: (accessed 04.03.2020).

Zhang H., Zhang L. Numerical simulation of cavitating turbulent flow in a high head Francis turbine at part load operation with OpenFOAM. Procedia Engineering. 2012, vol. 31, pp. 156–165. doi: 10.1016/j.proeng.2012.01.1006.

Krupa Ye. S. Chysel'ne modelyuvannya prostorovoho potoku v pidvodi os'ovoyi povorotno-lopatevoyi hidroturbiny [Numerical simulation of the spatial flow in the approach of the Kaplan turbine]. Bulletin of the National Technical University "KhPI". Series: Hydraulic machines and hydraulic units. Kharkiv, NTU "KhPI" Publ., 2017, no. 42 (1264), pp. 77–83.

Krasnopolsky B., Medvedev A. Acceleration of large scale OpenFOAM simulations on distributed systems with multicore cpus and gpus. Parallel Computing: On the Road to Exascale. Series: Advances in Parallel Computing. Amsterdam, IOS Press Publ., 2016, vol. 27, pp. 93–102. doi: 10.3233/978-1-61499-621-7-93

Kochevskiy А. N., Nenya V. G. Sovremenny podkhod k modelirovaniyu i raschetu techenij zhidkosti v lopastnykh gidromashinakh [Modern approach to modeling and calculating fluid flow in blade hydraulic machines]. Visnyk Sums'koho derzhavnoho universytetu. Seriya: Теkhnichni nauky [Sumy State University Bulletin: Technical Sciences Series]. Sumy, SumDU Publ., 2003, no. 13 (59), pp. 195–210.

Mironov K. A., Oleksenko Yu. Yu. Primenenie CFD pri proektirovanii elementov protochnoy chasti gidroturbin [Application of CFD in the design of elements of the flow path of hydraulic turbines]. Bulletin of the National Technical University "KhPI". Series: Hydraulic machines and hydraulic units. Kharkiv, NTU "KhPI" Publ., 2016, no. 20 (1192), pp. 116–121.

Nilsson H., Cervantes M. Effect of inlet boundary conditions, on the computed flow in the Turbine-99 draft tube, using OpenFOAM and CFX. 26th IAHR Symposium on Hydraulic Machinery and Systems. IOP Conference. Series: Earth and Environmental Science. Vol. 15. Bristol, IOP Publ., 2012, pp. 1–9. doi: 10.1088/1755-1315/15/ 3/032002

Duan X. H., Kong F. Y., Liu Y. Y., Zhao R. J., Hu Q. L. The numerical simulation based on CFD of hydraulic turbine pump. IOP Conference Series: Materials Science and Engineering. Vol. 129. 2016.

Elin A., Lugova C., Kolesnik E. Testing of the CFX-5 package on the examples of flow of liquid and gas in the running parts of VNIIAEN specialization pumps: flow modeling in the flow part of the intermediate stage of the multistage centrifugal pump. Scientific and practical journal "Pumps and equipment". 2007, vol. 6 (47), pp. 42–46.

Starodubtsev Y. V., Gogolev I. G., Solodov V. G. Numerical 3D model of viscous turbulent flow in one stage gas turbine and its experimental validation. Journal of Thermal Science. 2005, vol. 14, pp. 136–141.

Bychkov I. M. Verification of the OpenFOAM application package on aerodynamic profile flow problems. XIX school-seminar "Aerodynamics of Aircraft". 2008.